We're dividing 7100081 by 935 
Our goal is to divide 7100081 by 935.

Let's proceed to step 1:
The number 935 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 935

Moving on to step 2:
The number 935 fits into 71 0 times, leaving a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Include the next digit (0) from the dividend after 71, then repeat: 710 / 935

Let's proceed to step 3:
If we divide 710 by 935, we get 0 and a remainder of 710.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 710, we end up with 710.
Include the next digit (0) from the dividend after 710, then repeat: 7100 / 935

On to step 4:
The number 935 fits into 7100 7 times, leaving a remainder of 555.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 555 after subtracting 6545 from 7100.
Append the next digit (0) from the dividend to 555 and continue with: 5550 / 935

Step 5:
5550 divided by 935 is 5 with a remainder of 875.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we subtract 4675 from 5550, we get 875.
Append the next digit (8) from the dividend to 875 and continue with: 8758 / 935

Step 6:
8758 divided by 935 is 9 with a remainder of 343.
Put 9 as the next digit of the answer. 
Result so far: 759.0
The remainder is 343 after subtracting 8415 from 8758.
Fetch the next digit (1) from the dividend, attach it to 343 and continue: 3431 / 935

On to step 7:
When dividing 3431 by 935, we get 3 with a remainder of 626.
Use 3 as the next digit of our solution. 
Result so far: 7593.0
Subtracting 2805 from 3431 leaves us with 626.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Going ahead to step 8:
935 goes into 6260 6 times with a remainder of 650.
Use 6 as the next digit of our solution. 
Result so far: 7593.6
Subtract 5610 from 6260 to get 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Step 9:
When dividing 6500 by 935, we get 6 with a remainder of 890.
Write down 6 as next digit of the result. 
Result so far: 7593.66
If we subtract 5610 from 6500, we get 890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8900, and continue the process.

After the division, we end up with 7593.66 and a remainder of 0.89.